University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Graded Lie algebras and representations of p-adic groups

Graded Lie algebras and representations of p-adic groups

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  • UserBeth Romano
  • ClockWednesday 01 November 2017, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

Given a reductive group G over a finite extension k of Q_p, the representation theory of G(k) is well understood as long as p is large enough. Yet there are very few constructions of representations for arbitrary p and arbitrary G. Reeder and Yu have recently given a construction of certain “epipelagic” representations of G(k) that works uniformly for all p, but their construction depends on the existence of certain stable vectors in representations coming from graded Lie algebras in characteristic p. The classifi cation of these stable vectors is still incomplete in the case when p is small. I will talk about recent progress in classifying these stable vectors, including new examples in the case when G is of type F4.

This talk is part of the Algebra and Representation Theory Seminar series.

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